Title
On 2-arc-transitive graphs of order kpn.
Abstract
We show that there exist functions c and g such that, if k, n and d are positive integers with d>g(n) and Γ is a d-valent 2-arc-transitive graph of order kpn with p a prime, then p⩽kc(d). In other words, there are only finitely many d-valent 2-arc-transitive graphs of order kpn with d>g(n) and p prime. This generalises a recent result of Conder, Li and Potočnik.
Year
DOI
Venue
2016
10.1016/j.jctb.2015.11.001
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
2-arc-transitive graphs,Graph-restrictive
Prime (order theory),Integer,Discrete mathematics,Graph,Combinatorics,Arc (geometry),Mathematics,Transitive relation
Journal
Volume
Issue
ISSN
117
C
0095-8956
Citations 
PageRank 
References 
1
0.37
4
Authors
3
Name
Order
Citations
PageRank
Luke Morgan122.13
Eric Swartz245.23
Gabriel Verret3569.25